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Finding the Fourth Proportional to 9,780.35, 14,650.67 and 7,809.31

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Solution

The fourth proportional to 9,780.35, 14,650.67 and 7,809.31 is: 11,698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.35 : 14,650.67 = 7,809.31 : x
  2. Step 2: Convert to fraction form
    9,780.35/14,650.67 = 7,809.31/x
  3. Step 3: Cross multiply
    9,780.35x = 14,650.67 × 7,809.31
  4. Step 4: Simplify right side
    9,780.35x = 114,411,661.57
  5. Step 5: Solve for x
    x = 114,411,661.57/9,780.35
  6. Step 6: Final answer
    x = 11,698.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.